Question

A volcanic plug shaped like a cone has a diameter of 24 km and a height of 3 km.

What is the volume of the plug?

Use 3.14 to approximate pi, and express your final answer in hundredths.

km3

Answer 1

452.16km^3

Explanation:

The problem states a diameter, but we need a radius for the problem. So our radius is 12 (24/2).

Now we go by this formula= V=(3.14)r^2(h/3)

Since the radius is 12, we must raise it to the second power, which is 144. Then divide the height by 3, which is 1 (3/3). The 1 shouldn't matter because it's 1, so now we have to multiply 144 by 3.14. That is 452.16.

Answer 2

`(24)/(2)=\\12\\\\V=(1)/(3)\pi r^2h=\\V=(1)/(3)(3.14)(12)^2(3)=\\V=452.16`